Question: 4. Let p be a relation on Z* such that apb if there exists an n E Z such that a x 2 = b.

4. Let p be a relation on Z* such that apb if there exists an n E Z such that a x 2" = b. i. Give any 3 ordered pairs of the relation such that a, b > 1. ii. Determine whether or not any of (3, 16), (4, 1), (5,5) are elements of p. iii. Determine whether or not the relation is symmetric, transitive, antisymmetric or reflexive, and state whether it is an equivalence relation, poset, or neither. Make any further relevant observations depending on the outcome

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